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Finding the Third Proportional to 229,231.13 and 354,234.38

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Solution

The third proportional to 229,231.13 and 354,234.38 is: 547,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,231.13 : 354,234.38 = 354,234.38 : x
  2. Step 2: Convert to fraction form
    229,231.13/354,234.38 = 354,234.38/x
  3. Step 3: Cross multiply
    229,231.13x = 354,234.38 × 354,234.38
  4. Step 4: Simplify right side
    229,231.13x = 125,481,992,431.64
  5. Step 5: Solve for x
    x = 125,481,992,431.64/229,231.13
  6. Step 6: Final answer
    x = 547,403.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.